Three tennis balls are stored in a cylindrical container with a height of 8 inches and a radius of 1.43 inches. The circumference of a tennis ball is 8 inches. Round your answers to the nearest hundredth.
Accepted Solution
A:
the complete question is Three tennis balls are stored in a cylindrical container with a height of 8 inches and a radius of 1.43 inches. The circumference of a tennis ball is 8 inches. a) Find the volume of a tennis ball b) There are 3 tennis ball in the container Find the amount of space within the cylinder not taken up by the tennis balls. Round your answers to the nearest hundredth.
Part a)
we know that length of a circumference=2*pi*r----------> r=length/(2*pi)---> 8/(2*pi) r=1.27 in------> radius of tennis ball
volume of a tennis ball is equals to the volume of a sphere [volume of a sphere]=(4/3)*pi*r³----> (4/3)*pi*1.27³---> 8.58 in³
the answer Part a) is the volume of a tennis ball is 8.58 in³
Part b) [volume of the container]=pi*r²*h-----> pi*1.43²*8----> 51.39 in³
[volume of 3 tennis balls]=8.58*3-----> 25.74 in³
the amount of space within the cylinder not taken up by the tennis balls is 51.39-25.74-----> 25.65 in³